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934214823645184 = 2124775772
BaseRepresentation
bin1101010001101010011101011…
…0101101010001000000000000
311112111210001202022211002211201
43110122213112231101000000
51434422133424323121214
613110524210514150544
7400530536140342204
oct32432472655210000
94474701668732751
10934214823645184
11250740311021314
1288941112282454
13311381065b8953
141269a34b0aab04
157301111311274
hex351a9d6b51000

934214823645184 has 39 divisors (see below), whose sum is σ = 1868205479340837. Its totient is φ = 467106433744896.

The previous prime is 934214823645161. The next prime is 934214823645199. The reversal of 934214823645184 is 481546328412439.

It is a happy number.

The square root of 934214823645184 is 30564928.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2443594240000 + 931771229405184 = 1563200^2 + 30524928^2 .

It is a super-2 number, since 2×9342148236451842 (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1955916604 + ... + 1956394180.

It is an arithmetic number, because the mean of its divisors is an integer number (47902704598483).

Almost surely, 2934214823645184 is an apocalyptic number.

934214823645184 is the 30564928-th square number.

It is an amenable number.

934214823645184 is a deficient number, since it is larger than the sum of its proper divisors (933990655695653).

934214823645184 is an frugal number, since it uses more digits than its factorization.

934214823645184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955178 (or 477579 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 64.

934214823645184 divided by its sum of digits (64) gives a square (14597106619456 = 38206162).

The spelling of 934214823645184 in words is "nine hundred thirty-four trillion, two hundred fourteen billion, eight hundred twenty-three million, six hundred forty-five thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 477577 955154 1910308 3820616 7641232 15282464 30564928 61129856 122259712 244519424 489038848 978077696 1956155392 228079790929 456159581858 912319163716 1824638327432 3649276654864 7298553309728 14597106619456 29194213238912 58388426477824 116776852955648 233553705911296 467107411822592 934214823645184